| 一种解算椭球大地测量学反问题的方法及应用 |
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| 引用本文： | 陈成,边少锋,李厚朴.一种解算椭球大地测量学反问题的方法及应用[J].海洋测绘,2015(6):8-13. |
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| 作者姓名： | 陈成 边少锋 李厚朴 |
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| 作者单位： | 海军工程大学 导航工程系,湖北 武汉 430033 |
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| 基金项目： | 国家自然科学基金(41471387，41201478) |
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| 摘 要： | 针对解算椭球大地测量学理论反问题的复杂性,通过实例,说明了基于计算机代数系统的符号迭代法解决此类问题计算形式简洁、直观的特点。以幂级数展开理论为基础,通过一系列计算和分析,给出了符号迭代法的理论基础。讨论了符号迭代法在椭球大地测量学及其他类似领域问题中的应用,最后验证了方法的正确性。
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| 关 键 词： | 大地测量学 符号迭代法 反问题 计算机代数系统 第一偏心率 |
A Method for Solving Inverse Problems in Ellipsoidal Geodesy and Its Application |
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| CHEN Cheng,BIAN Shaofeng,LI Houpu.A Method for Solving Inverse Problems in Ellipsoidal Geodesy and Its Application[J].Hydrographic Surveying and Charting,2015(6):8-13. |
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| Authors: | CHEN Cheng BIAN Shaofeng LI Houpu |
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| Institution: | Institute of Navigation Engineering,Naval University of Engineering,Wuhan 430033 ,China |
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| Abstract: | Through a calculation example,symbolic iterative method based on the computer algebra system issimple and intuitive when solving the complex inverse problems in ellipsoidal geodesy.The theoretical basis ofthe method is provided based on the theory of power series expansion,by means of a series of calculationscalculation and analysis.Finally,the application of the symbolic iterative method in ellipsoid geodesy and othersimilar areas is discussed,which also verified the correctness of the method in this paper. |
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